Listar por tema "Splitting methods"

Mostrando ítems 1-7 de 7

    • openAccess   Error analysis of splitting methods for the time dependent Schrödinger equation 

      Blanes, Sergio; Casas, Fernando; Murua, Ander Society for Industrial and Applied Mathematics (2011)
      A typical procedure to integrate numerically the time dependent Schrödinger equation involves two stages. In the first stage one carries out a space discretization of the continuous problem. This results in the linear ...

    • openAccess   New families of symplectic splitting methods for numerical integration in dynamical astronomy 

      Blanes, Sergio; Casas, Fernando; Farrés Basiana, Ariadna; Laskar, Jacques; Makazaga, Joseba; Murua, Ander Elsevier (2013-06)
      We present new splitting methods designed for the numerical integration of near-integrable Hamiltonian systems, and in particular for planetary N-body problems, when one is interested in very accurate results over a large ...

    • openAccess   On the Linear Stability of Splitting Methods 

      Blanes, Sergio; Casas, Fernando; Murua, Ander Springer Verlag (2008)
      A comprehensive linear stability analysis of splitting methods is carried out by means of a 2 × 2 matrix K(x) with polynomial entries (the stability matrix) and the stability polynomial p(x) (the trace of K(x) divided by ...

    • openAccess   Optimized high-order splitting methods for some classes of parabolic equation 

      Blanes, Sergio; Casas, Fernando; Chartier, Philippe; Murua, Ander American Mathematical Society (2013)
      Weareconcernedwiththenumericalsolutionobtainedbysplitting methods of certain parabolic partial differential equations. Splitting schemes of order higher than two with real coefficients necessarily involve negative coefficients. ...

    • openAccess   Splitting methods in the numerical integration of non-autonomous dynamical systems 

      Casas, Fernando; Blanes, Sergio; Murua, Ander Springer (2012)
      We present a procedure leading to efficient splitting schemes for the time integration of explicitly time dependent partitioned linear differential equa- tions arising when certain partial differential equations are ...

    • openAccess   Splitting methods with complex coefficients 

      Blanes, Sergio; Casas, Fernando; Murua, Ander Sociedad Española de Matemática Aplicada (2010)
      Splitting methods for the numerical integration of differential equations of order greater than two involve necessarily negative coefficients. This order barrier can be overcome by considering complex coefficients with ...

    • openAccess   Symmetric-conjugate splitting methods for linear unitary problems 

      Bernier, Joackim; Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Springer (2023-11-10)
      We analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined in the unitary group. The schemes involve ...